V. Babin, C. Radu, The inverse problem in scattering theory for optical field propagation in inhomogeneous media with dielectric permittivity variation, Romanian Journal of Physics, 56/3-4  (2011) 313-322.

Title: The inverse problem in scattering theory for optical field propagation in inhomogeneous media with dielectric permittivity variation

Abstract: In the paper was presented a scattering model of electromagnetic field using an inverse problem in scattering theory, which consists in data processing caused by optical scattering effect. Also, we presented the spectral theory of operators (linear and nonlinear) with applications in inverse scattering theory. The problem is interesting because it can be solved a nonlinear problem using a spectral data set of linear problems. In scattering theory, the inverse problem consists in determination of potential function knowing spectral data for field amplitude and phase. The nonhomogenous scalar field can be described by nonhomogenous dielectric permittivity.

Key words: photonic network, nonhomogeneous dielectric permittivity